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D( x )
8*x+4 = 0
8*x+4 = 0
8*x+4 = 0
8*x+4 = 0 // - 4
8*x = -4 // : 8
x = -4/8
x = -1/2
x in (-oo:-1/2) U (-1/2:+oo)
(32*x^3-(56*x^2)-(84*x)-24)/(8*x+4) = 0
(32*x^3-56*x^2-84*x-24)/(8*x+4) = 0
32*x^3-56*x^2-84*x-24 = 0
4*(8*x^3-14*x^2-21*x-6) = 0
8*x^3-14*x^2-21*x-6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
x = 1
8*x^3-14*x^2-21*x-6 = -33
1
-1
x = -1
8*x^3-14*x^2-21*x-6 = -7
-1
2
x = 2
8*x^3-14*x^2-21*x-6 = -40
2
-2
x = -2
8*x^3-14*x^2-21*x-6 = -84
-2
3
x = 3
8*x^3-14*x^2-21*x-6 = 21
3
-3
x = -3
8*x^3-14*x^2-21*x-6 = -285
-3
6
x = 6
8*x^3-14*x^2-21*x-6 = 1092
6
-6
x = -6
8*x^3-14*x^2-21*x-6 = -2112
-6
{ 1/2, -1/2, 1/4, -1/4, 1/8, -1/8, -1/2, 1/2, -1/4, 1/4, -1/8, 1/8, 2/2, -2/2, 2/4, -2/4, 2/8, -2/8, -2/2, 2/2, -2/4, 2/4, -2/8, 2/8, 3/2, -3/2, 3/4, -3/4, 3/8, -3/8, -3/2, 3/2, -3/4, 3/4, -3/8, 3/8, 6/2, -6/2, 6/4, -6/4, 6/8, -6/8, -6/2, 6/2, -6/4, 6/4, -6/8, 6/8 }
1/2
x
1/2
8*x^3-14*x^2-21*x-6 = -19
1/2
-1/2
x
-1/2
8*x^3-14*x^2-21*x-6 = 0
-1/2
x+1/2
8*x^2-18*x-12
8*x^3-14*x^2-21*x-6
x+1/2
-8*x^3-4*x^2
-18*x^2-21*x-6
18*x^2+9*x
-12*x-6
12*x+6
0
8*x^2-18*x-12 = 0
DELTA = (-18)^2-(-12*4*8)
DELTA = 708
DELTA > 0
x = (708^(1/2)+18)/(2*8) or x = (18-708^(1/2))/(2*8)
x = (2*177^(1/2)+18)/16 or x = (18-2*177^(1/2))/16
x in { (18-2*177^(1/2))/16, (2*177^(1/2)+18)/16, -1/2}
4*(x-((18-2*177^(1/2))/16))*(x-((2*177^(1/2)+18)/16))*(x+1/2) = 0
(4*(x-((18-2*177^(1/2))/16))*(x-((2*177^(1/2)+18)/16))*(x+1/2))/(8*x+4) = 0
( x+1/2 )
x+1/2 = 0 // - 1/2
x = -1/2
( x-((18-2*177^(1/2))/16) )
x-((18-2*177^(1/2))/16) = 0 // + (18-2*177^(1/2))/16
x = (18-2*177^(1/2))/16
( x-((2*177^(1/2)+18)/16) )
x-((2*177^(1/2)+18)/16) = 0 // + (2*177^(1/2)+18)/16
x = (2*177^(1/2)+18)/16
x in { -1/2}
x in { (18-2*177^(1/2))/16, (2*177^(1/2)+18)/16 }
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